Shifted quiver Yangians and representations from BPS crystals

doi:10.1007/JHEP08(2021)146

ITP OpenIR > SCI期刊论文

	Galakhov, Dmitry 1; Li, Wei2 ; Yamazaki, Masahito
	Shifted quiver Yangians and representations from BPS crystals
Source Publication	JOURNAL OF HIGH ENERGY PHYSICS
Language	英语
Keyword	DONALDSON-THOMAS INVARIANTS COULOMB BRANCHES GAUGE-THEORIES CALABI-YAU ALGEBRAS INSTANTONS
Abstract	We introduce a class of new algebras, the shifted quiver Yangians, as the BPS algebras for type IIA string theory on general toric Calabi-Yau three-folds. We construct representations of the shifted quiver Yangian from general subcrystals of the canonical crystal. We derive our results via equivariant localization for supersymmetric quiver quantum mechanics for various framed quivers, where the framings are determined by the shape of the subcrystals. Our results unify many known BPS state counting problems, including open BPS counting, non-compact D4-branes, and wall crossing phenomena, simply as different representations of the shifted quiver Yangians. Furthermore, most of our representations seem to be new, and this suggests the existence of a zoo of BPS state counting problems yet to be studied in detail.
	2021
ISSN	1029-8479
Issue	8 Pages:146
Cooperation Status	国际
Subject Area	Physics
MOST Discipline Catalogue	Physics, Particles & Fields
DOI	10.1007/JHEP08(2021)146
Indexed By	SCIE
Citation statistics
Document Type	期刊论文
Identifier	http://ir.itp.ac.cn/handle/311006/27479
Collection	SCI期刊论文
Affiliation	1.Univ Tokyo, Kavli Inst Phys & Math Universe WPI, 5-1-5 Kashiwanoha, Kashiwa, Chiba 2778583, Japan 2.Chinese Acad Sci, Inst Theoret Phys, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China 3.Inst Informat Transmiss Problems, Bolshoy Karetny Per 19,Build 1, Moscow 127051, Russia
Recommended Citation GB/T 7714	Galakhov, Dmitry,Li, Wei,Yamazaki, Masahito. Shifted quiver Yangians and representations from BPS crystals[J]. JOURNAL OF HIGH ENERGY PHYSICS,2021(8):146.
APA	Galakhov, Dmitry,Li, Wei,&Yamazaki, Masahito.(2021).Shifted quiver Yangians and representations from BPS crystals.JOURNAL OF HIGH ENERGY PHYSICS(8),146.
MLA	Galakhov, Dmitry,et al."Shifted quiver Yangians and representations from BPS crystals".JOURNAL OF HIGH ENERGY PHYSICS .8(2021):146.

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